Parabolic induction for Affine Kac-Moody algebras
Seminar Room 1, Newton Institute
We will discuss the category of weight modules with nonzero central charge over affine Lie algebras. Though the classification of irreducible modules with finite-dimensional weight spaces in this category is known, it remains open in general. The talk will focus on recent progress in the study of parabolic induction for affine Kac-Moody algebras which provides a recipe to construct new irreducible modules is the above category. The talk is based on joint results with I.Kashuba.